Assume the flying height of an airplane is a Gaussian Random variable X with ax = 5000 m and ay-2000 m. Find the probability of the airplane flying higher than 10000 m. Use the table method.
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- Dandelions are studied for their effects on crop production and lawn growth. In one region, the mean number of dandelions per square meter was found to be 5.3. Find the probahility of no dandelions in an area of 1m². P(x=0)= Find the probability of at least one dandelion in an area of 1m². at least oneDuring the 2013 regular NBA season, DeAndre Jordan of the Los Angeles Clippers had the highest field goal completion rate in the league. DeAndre scored with 61.3% of his shots. Suppose you choose a random sample of 80 shots made by DeAndre during the 2013 season. Let X= the number of shots that scored points. Find the probability that DeAndre scored with more than 50 of these shots.We break a stick at a uniformly chosen random location. Find the probability that the shorter piece is less than 1/5 of the original.
- Kelly realized that 4% of his students' exams have academic integrity issues. He plans to go through the exams at random to find one with academic integrity issues. Let X be the number of exams Kelly selects until he finds one with academic integrity issues. a) Find the probability that the 18 th exam Kelly selects will be the first with academic integrity issues. State your answer as a percentage rounded your answer to 2 decimal places. b) What is the probability of finding an exam with academic integrity issues within the first 5 exams? Round your answer to 3 decimal places.The amount of time it takes students to complete a biology exam is normally distributed with a population mean of µ=120 minutes and σ=30 minutes. What is the probability that 1 randomly selected student will take longer than 135 minutes to complete the exam?What is E(T) where is a T random variable with 17 degrees of freedom?
- Dandelions have effects on crop production and lawn growth and are studied. In one region, the mean number of dandelions per square meter was found to be 10.8.Find the probability of no dandelions in an area of 1 m².P(X=0)=P(X=0)= Find the probability of at least one dandelion in an area of 1 m².P(at least one) = Find the probability of at most two dandelions in an area of 1 m².P(X≤2)=P(X≤2)=The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful life (150,000150,000 miles of driving) of cars of a particular model varies Normally with mean 8080 mg/mi and standard deviation 66 mg/mi. A company has 1616 cars of this model in its fleet. Using Table A, find the level ?L such that the probability that the average NOX + NMOG level ?¯x¯ for the fleet greater than ?L is only 0.030.03 ? (Enter your answer rounded to three decimal places. If you are using CrunchIt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision settings.)Assume that when an adult is randomly selected, the probability that they do not require vision correction is 17%. If 12 adults are randomly selected, find the probability that exactly 3 of them require vision correction. (round to three decimal places as needed)
- A nervous kicker usually makes 69% of his first field goal attempts. If he makes his first attempt, his success rate rises to 94%. What is the probability that he makes his first two kicks? The probability that the kicker makes his first two kicks is (Round to three decimal places as needed.)The flight from Greenville to Charlotte can take anywhere from 43 minutes to 68 minutes. Suppose the random flying times, X, are uniform from 43 to 68 minutes. What is the probability a flight last longer than 59? or P(X>59) Do not round.The weights of steers in a herd are distributed normally. The variance is 40,000 and the mean steer weight is 1400lbs. Find the probability that the weight of a randomly selected steer is between 1537lbs and 1679lbs Round your answer to four decimal places.
